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321 lines
12 KiB
321 lines
12 KiB
#define EIGEN_ENABLE_EVALUATORS
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#include "main.h"
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using internal::copy_using_evaluator;
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using namespace std;
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#define VERIFY_IS_APPROX_EVALUATOR(DEST,EXPR) VERIFY_IS_APPROX(copy_using_evaluator(DEST,(EXPR)), (EXPR).eval());
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#define VERIFY_IS_APPROX_EVALUATOR2(DEST,EXPR,REF) VERIFY_IS_APPROX(copy_using_evaluator(DEST,(EXPR)), (REF).eval());
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void test_evaluators()
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{
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// Testing Matrix evaluator and Transpose
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Vector2d v = Vector2d::Random();
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const Vector2d v_const(v);
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Vector2d v2;
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RowVector2d w;
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VERIFY_IS_APPROX_EVALUATOR(v2, v);
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VERIFY_IS_APPROX_EVALUATOR(v2, v_const);
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// Testing Transpose
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VERIFY_IS_APPROX_EVALUATOR(w, v.transpose()); // Transpose as rvalue
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VERIFY_IS_APPROX_EVALUATOR(w, v_const.transpose());
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copy_using_evaluator(w.transpose(), v); // Transpose as lvalue
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VERIFY_IS_APPROX(w,v.transpose().eval());
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copy_using_evaluator(w.transpose(), v_const);
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VERIFY_IS_APPROX(w,v_const.transpose().eval());
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// Testing Array evaluator
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ArrayXXf a(2,3);
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ArrayXXf b(3,2);
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a << 1,2,3, 4,5,6;
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const ArrayXXf a_const(a);
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VERIFY_IS_APPROX_EVALUATOR(b, a.transpose());
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VERIFY_IS_APPROX_EVALUATOR(b, a_const.transpose());
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// Testing CwiseNullaryOp evaluator
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copy_using_evaluator(w, RowVector2d::Random());
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VERIFY((w.array() >= -1).all() && (w.array() <= 1).all()); // not easy to test ...
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VERIFY_IS_APPROX_EVALUATOR(w, RowVector2d::Zero());
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VERIFY_IS_APPROX_EVALUATOR(w, RowVector2d::Constant(3));
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// mix CwiseNullaryOp and transpose
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VERIFY_IS_APPROX_EVALUATOR(w, Vector2d::Zero().transpose());
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{
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// test product expressions
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int s = internal::random<int>(1,100);
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MatrixXf a(s,s), b(s,s), c(s,s), d(s,s);
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a.setRandom();
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b.setRandom();
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c.setRandom();
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d.setRandom();
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VERIFY_IS_APPROX_EVALUATOR(d, (a + b));
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VERIFY_IS_APPROX_EVALUATOR(d, (a + b).transpose());
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VERIFY_IS_APPROX_EVALUATOR2(d, prod(a,b), a*b);
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VERIFY_IS_APPROX_EVALUATOR2(d.noalias(), prod(a,b), a*b);
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VERIFY_IS_APPROX_EVALUATOR2(d, prod(a,b) + c, a*b + c);
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VERIFY_IS_APPROX_EVALUATOR2(d, s * prod(a,b), s * a*b);
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VERIFY_IS_APPROX_EVALUATOR2(d, prod(a,b).transpose(), (a*b).transpose());
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VERIFY_IS_APPROX_EVALUATOR2(d, prod(a,b) + prod(b,c), a*b + b*c);
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// check that prod works even with aliasing present
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c = a*a;
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copy_using_evaluator(a, prod(a,a));
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VERIFY_IS_APPROX(a,c);
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}
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{
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// test product with all possible sizes
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int s = internal::random<int>(1,100);
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Matrix<float, 1, 1> m11, res11; m11.setRandom(1,1);
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Matrix<float, 1, 4> m14, res14; m14.setRandom(1,4);
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Matrix<float, 1,Dynamic> m1X, res1X; m1X.setRandom(1,s);
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Matrix<float, 4, 1> m41, res41; m41.setRandom(4,1);
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Matrix<float, 4, 4> m44, res44; m44.setRandom(4,4);
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Matrix<float, 4,Dynamic> m4X, res4X; m4X.setRandom(4,s);
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Matrix<float,Dynamic, 1> mX1, resX1; mX1.setRandom(s,1);
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Matrix<float,Dynamic, 4> mX4, resX4; mX4.setRandom(s,4);
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Matrix<float,Dynamic,Dynamic> mXX, resXX; mXX.setRandom(s,s);
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VERIFY_IS_APPROX_EVALUATOR2(res11, prod(m11,m11), m11*m11);
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VERIFY_IS_APPROX_EVALUATOR2(res11, prod(m14,m41), m14*m41);
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VERIFY_IS_APPROX_EVALUATOR2(res11, prod(m1X,mX1), m1X*mX1);
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VERIFY_IS_APPROX_EVALUATOR2(res14, prod(m11,m14), m11*m14);
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VERIFY_IS_APPROX_EVALUATOR2(res14, prod(m14,m44), m14*m44);
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VERIFY_IS_APPROX_EVALUATOR2(res14, prod(m1X,mX4), m1X*mX4);
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VERIFY_IS_APPROX_EVALUATOR2(res1X, prod(m11,m1X), m11*m1X);
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VERIFY_IS_APPROX_EVALUATOR2(res1X, prod(m14,m4X), m14*m4X);
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VERIFY_IS_APPROX_EVALUATOR2(res1X, prod(m1X,mXX), m1X*mXX);
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VERIFY_IS_APPROX_EVALUATOR2(res41, prod(m41,m11), m41*m11);
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VERIFY_IS_APPROX_EVALUATOR2(res41, prod(m44,m41), m44*m41);
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VERIFY_IS_APPROX_EVALUATOR2(res41, prod(m4X,mX1), m4X*mX1);
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VERIFY_IS_APPROX_EVALUATOR2(res44, prod(m41,m14), m41*m14);
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VERIFY_IS_APPROX_EVALUATOR2(res44, prod(m44,m44), m44*m44);
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VERIFY_IS_APPROX_EVALUATOR2(res44, prod(m4X,mX4), m4X*mX4);
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VERIFY_IS_APPROX_EVALUATOR2(res4X, prod(m41,m1X), m41*m1X);
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VERIFY_IS_APPROX_EVALUATOR2(res4X, prod(m44,m4X), m44*m4X);
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VERIFY_IS_APPROX_EVALUATOR2(res4X, prod(m4X,mXX), m4X*mXX);
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VERIFY_IS_APPROX_EVALUATOR2(resX1, prod(mX1,m11), mX1*m11);
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VERIFY_IS_APPROX_EVALUATOR2(resX1, prod(mX4,m41), mX4*m41);
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VERIFY_IS_APPROX_EVALUATOR2(resX1, prod(mXX,mX1), mXX*mX1);
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VERIFY_IS_APPROX_EVALUATOR2(resX4, prod(mX1,m14), mX1*m14);
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VERIFY_IS_APPROX_EVALUATOR2(resX4, prod(mX4,m44), mX4*m44);
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VERIFY_IS_APPROX_EVALUATOR2(resX4, prod(mXX,mX4), mXX*mX4);
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VERIFY_IS_APPROX_EVALUATOR2(resXX, prod(mX1,m1X), mX1*m1X);
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VERIFY_IS_APPROX_EVALUATOR2(resXX, prod(mX4,m4X), mX4*m4X);
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VERIFY_IS_APPROX_EVALUATOR2(resXX, prod(mXX,mXX), mXX*mXX);
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}
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// this does not work because Random is eval-before-nested:
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// copy_using_evaluator(w, Vector2d::Random().transpose());
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// test CwiseUnaryOp
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VERIFY_IS_APPROX_EVALUATOR(v2, 3 * v);
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VERIFY_IS_APPROX_EVALUATOR(w, (3 * v).transpose());
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VERIFY_IS_APPROX_EVALUATOR(b, (a + 3).transpose());
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VERIFY_IS_APPROX_EVALUATOR(b, (2 * a_const + 3).transpose());
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// test CwiseBinaryOp
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VERIFY_IS_APPROX_EVALUATOR(v2, v + Vector2d::Ones());
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VERIFY_IS_APPROX_EVALUATOR(w, (v + Vector2d::Ones()).transpose().cwiseProduct(RowVector2d::Constant(3)));
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// dynamic matrices and arrays
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MatrixXd mat1(6,6), mat2(6,6);
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VERIFY_IS_APPROX_EVALUATOR(mat1, MatrixXd::Identity(6,6));
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VERIFY_IS_APPROX_EVALUATOR(mat2, mat1);
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copy_using_evaluator(mat2.transpose(), mat1);
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VERIFY_IS_APPROX(mat2.transpose(), mat1);
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ArrayXXd arr1(6,6), arr2(6,6);
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VERIFY_IS_APPROX_EVALUATOR(arr1, ArrayXXd::Constant(6,6, 3.0));
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VERIFY_IS_APPROX_EVALUATOR(arr2, arr1);
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// test automatic resizing
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mat2.resize(3,3);
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VERIFY_IS_APPROX_EVALUATOR(mat2, mat1);
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arr2.resize(9,9);
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VERIFY_IS_APPROX_EVALUATOR(arr2, arr1);
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// test direct traversal
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Matrix3f m3;
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Array33f a3;
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VERIFY_IS_APPROX_EVALUATOR(m3, Matrix3f::Identity()); // matrix, nullary
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// TODO: find a way to test direct traversal with array
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VERIFY_IS_APPROX_EVALUATOR(m3.transpose(), Matrix3f::Identity().transpose()); // transpose
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VERIFY_IS_APPROX_EVALUATOR(m3, 2 * Matrix3f::Identity()); // unary
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VERIFY_IS_APPROX_EVALUATOR(m3, Matrix3f::Identity() + Matrix3f::Zero()); // binary
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VERIFY_IS_APPROX_EVALUATOR(m3.block(0,0,2,2), Matrix3f::Identity().block(1,1,2,2)); // block
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// test linear traversal
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VERIFY_IS_APPROX_EVALUATOR(m3, Matrix3f::Zero()); // matrix, nullary
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VERIFY_IS_APPROX_EVALUATOR(a3, Array33f::Zero()); // array
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VERIFY_IS_APPROX_EVALUATOR(m3.transpose(), Matrix3f::Zero().transpose()); // transpose
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VERIFY_IS_APPROX_EVALUATOR(m3, 2 * Matrix3f::Zero()); // unary
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VERIFY_IS_APPROX_EVALUATOR(m3, Matrix3f::Zero() + m3); // binary
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// test inner vectorization
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Matrix4f m4, m4src = Matrix4f::Random();
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Array44f a4, a4src = Matrix4f::Random();
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VERIFY_IS_APPROX_EVALUATOR(m4, m4src); // matrix
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VERIFY_IS_APPROX_EVALUATOR(a4, a4src); // array
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VERIFY_IS_APPROX_EVALUATOR(m4.transpose(), m4src.transpose()); // transpose
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// TODO: find out why Matrix4f::Zero() does not allow inner vectorization
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VERIFY_IS_APPROX_EVALUATOR(m4, 2 * m4src); // unary
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VERIFY_IS_APPROX_EVALUATOR(m4, m4src + m4src); // binary
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// test linear vectorization
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MatrixXf mX(6,6), mXsrc = MatrixXf::Random(6,6);
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ArrayXXf aX(6,6), aXsrc = ArrayXXf::Random(6,6);
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VERIFY_IS_APPROX_EVALUATOR(mX, mXsrc); // matrix
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VERIFY_IS_APPROX_EVALUATOR(aX, aXsrc); // array
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VERIFY_IS_APPROX_EVALUATOR(mX.transpose(), mXsrc.transpose()); // transpose
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VERIFY_IS_APPROX_EVALUATOR(mX, MatrixXf::Zero(6,6)); // nullary
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VERIFY_IS_APPROX_EVALUATOR(mX, 2 * mXsrc); // unary
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VERIFY_IS_APPROX_EVALUATOR(mX, mXsrc + mXsrc); // binary
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// test blocks and slice vectorization
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VERIFY_IS_APPROX_EVALUATOR(m4, (mXsrc.block<4,4>(1,0)));
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VERIFY_IS_APPROX_EVALUATOR(aX, ArrayXXf::Constant(10, 10, 3.0).block(2, 3, 6, 6));
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Matrix4f m4ref = m4;
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copy_using_evaluator(m4.block(1, 1, 2, 3), m3.bottomRows(2));
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m4ref.block(1, 1, 2, 3) = m3.bottomRows(2);
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VERIFY_IS_APPROX(m4, m4ref);
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mX.setIdentity(20,20);
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MatrixXf mXref = MatrixXf::Identity(20,20);
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mXsrc = MatrixXf::Random(9,12);
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copy_using_evaluator(mX.block(4, 4, 9, 12), mXsrc);
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mXref.block(4, 4, 9, 12) = mXsrc;
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VERIFY_IS_APPROX(mX, mXref);
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// test Map
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const float raw[3] = {1,2,3};
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float buffer[3] = {0,0,0};
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Vector3f v3;
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Array3f a3f;
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VERIFY_IS_APPROX_EVALUATOR(v3, Map<const Vector3f>(raw));
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VERIFY_IS_APPROX_EVALUATOR(a3f, Map<const Array3f>(raw));
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Vector3f::Map(buffer) = 2*v3;
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VERIFY(buffer[0] == 2);
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VERIFY(buffer[1] == 4);
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VERIFY(buffer[2] == 6);
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// test CwiseUnaryView
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mat1.setRandom();
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mat2.setIdentity();
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MatrixXcd matXcd(6,6), matXcd_ref(6,6);
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copy_using_evaluator(matXcd.real(), mat1);
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copy_using_evaluator(matXcd.imag(), mat2);
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matXcd_ref.real() = mat1;
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matXcd_ref.imag() = mat2;
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VERIFY_IS_APPROX(matXcd, matXcd_ref);
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// test Select
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VERIFY_IS_APPROX_EVALUATOR(aX, (aXsrc > 0).select(aXsrc, -aXsrc));
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// test Replicate
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mXsrc = MatrixXf::Random(6, 6);
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VectorXf vX = VectorXf::Random(6);
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mX.resize(6, 6);
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VERIFY_IS_APPROX_EVALUATOR(mX, mXsrc.colwise() + vX);
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matXcd.resize(12, 12);
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VERIFY_IS_APPROX_EVALUATOR(matXcd, matXcd_ref.replicate(2,2));
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VERIFY_IS_APPROX_EVALUATOR(matXcd, (matXcd_ref.replicate<2,2>()));
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// test partial reductions
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VectorXd vec1(6);
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VERIFY_IS_APPROX_EVALUATOR(vec1, mat1.rowwise().sum());
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VERIFY_IS_APPROX_EVALUATOR(vec1, mat1.colwise().sum().transpose());
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// test MatrixWrapper and ArrayWrapper
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mat1.setRandom(6,6);
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arr1.setRandom(6,6);
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VERIFY_IS_APPROX_EVALUATOR(mat2, arr1.matrix());
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VERIFY_IS_APPROX_EVALUATOR(arr2, mat1.array());
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VERIFY_IS_APPROX_EVALUATOR(mat2, (arr1 + 2).matrix());
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VERIFY_IS_APPROX_EVALUATOR(arr2, mat1.array() + 2);
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mat2.array() = arr1 * arr1;
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VERIFY_IS_APPROX(mat2, (arr1 * arr1).matrix());
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arr2.matrix() = MatrixXd::Identity(6,6);
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VERIFY_IS_APPROX(arr2, MatrixXd::Identity(6,6).array());
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// test Reverse
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VERIFY_IS_APPROX_EVALUATOR(arr2, arr1.reverse());
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VERIFY_IS_APPROX_EVALUATOR(arr2, arr1.colwise().reverse());
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VERIFY_IS_APPROX_EVALUATOR(arr2, arr1.rowwise().reverse());
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arr2.reverse() = arr1;
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VERIFY_IS_APPROX(arr2, arr1.reverse());
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mat2.array() = mat1.array().reverse();
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VERIFY_IS_APPROX(mat2.array(), mat1.array().reverse());
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// test Diagonal
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VERIFY_IS_APPROX_EVALUATOR(vec1, mat1.diagonal());
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vec1.resize(5);
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VERIFY_IS_APPROX_EVALUATOR(vec1, mat1.diagonal(1));
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VERIFY_IS_APPROX_EVALUATOR(vec1, mat1.diagonal<-1>());
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vec1.setRandom();
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mat2 = mat1;
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copy_using_evaluator(mat1.diagonal(1), vec1);
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mat2.diagonal(1) = vec1;
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VERIFY_IS_APPROX(mat1, mat2);
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copy_using_evaluator(mat1.diagonal<-1>(), mat1.diagonal(1));
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mat2.diagonal<-1>() = mat2.diagonal(1);
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VERIFY_IS_APPROX(mat1, mat2);
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{
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// test swapping
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MatrixXd mat1, mat2, mat1ref, mat2ref;
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mat1ref = mat1 = MatrixXd::Random(6, 6);
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mat2ref = mat2 = 2 * mat1 + MatrixXd::Identity(6, 6);
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swap_using_evaluator(mat1, mat2);
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mat1ref.swap(mat2ref);
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VERIFY_IS_APPROX(mat1, mat1ref);
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VERIFY_IS_APPROX(mat2, mat2ref);
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swap_using_evaluator(mat1.block(0, 0, 3, 3), mat2.block(3, 3, 3, 3));
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mat1ref.block(0, 0, 3, 3).swap(mat2ref.block(3, 3, 3, 3));
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VERIFY_IS_APPROX(mat1, mat1ref);
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VERIFY_IS_APPROX(mat2, mat2ref);
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swap_using_evaluator(mat1.row(2), mat2.col(3).transpose());
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mat1.row(2).swap(mat2.col(3).transpose());
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VERIFY_IS_APPROX(mat1, mat1ref);
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VERIFY_IS_APPROX(mat2, mat2ref);
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}
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{
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// test compound assignment
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const Matrix4d mat_const = Matrix4d::Random();
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Matrix4d mat, mat_ref;
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mat = mat_ref = Matrix4d::Identity();
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add_assign_using_evaluator(mat, mat_const);
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mat_ref += mat_const;
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VERIFY_IS_APPROX(mat, mat_ref);
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subtract_assign_using_evaluator(mat.row(1), 2*mat.row(2));
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mat_ref.row(1) -= 2*mat_ref.row(2);
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VERIFY_IS_APPROX(mat, mat_ref);
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const ArrayXXf arr_const = ArrayXXf::Random(5,3);
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ArrayXXf arr, arr_ref;
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arr = arr_ref = ArrayXXf::Constant(5, 3, 0.5);
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multiply_assign_using_evaluator(arr, arr_const);
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arr_ref *= arr_const;
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VERIFY_IS_APPROX(arr, arr_ref);
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divide_assign_using_evaluator(arr.row(1), arr.row(2) + 1);
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arr_ref.row(1) /= (arr_ref.row(2) + 1);
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VERIFY_IS_APPROX(arr, arr_ref);
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}
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}
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